Problem: As you very well know, this year's funkiest numbers are so called triangular numbers (that is, integers that are representable as <image>, where k is some positive integer), and the coolest numbers are those that are representable as a sum of two triangular numbers.

A well-known hipster Andrew adores everything funky and cool but unfortunately, he isn't good at maths. Given number n, help him define whether this number can be represented by a sum of two triangular numbers (not necessarily different)!

Input

The first input line contains an integer n (1 ≤ n ≤ 109).

Output

Print "YES" (without the quotes), if n can be represented as a sum of two triangular numbers, otherwise print "NO" (without the quotes).

Examples

Input

256


Output

YES


Input

512


Output

NO

Note

In the first sample number <image>.

In the second sample number 512 can not be represented as a sum of two triangular numbers.

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Timer;
import java.util.TreeSet;

public class Main {
	
	public static void main(String[] args) throws Exception {
		
		int n = nextInt();
		TreeSet<Integer> t = new TreeSet<Integer>();
		for(int i = 1; ; i++){
			int a = (i * ( i + 1) ) / 2;
			if (a > 1000000000) break;
			t.add(a);
		}
		for(int a : t){
			if(a >= n) break;
			int res = n - a;
			if(t.contains(res)) exit("YES");
		}
		exit("NO");

	}
		
	private static PrintWriter out =  new PrintWriter(System.out);;
	private static BufferedReader inB = new BufferedReader(new InputStreamReader(System.in));	
	private static StreamTokenizer in = new StreamTokenizer(inB);
	
	private static void exit(Object o) throws Exception {
		out.println(o);
		out.flush();
		System.exit(0);
	}
	private static void println(Object o) throws Exception{
		out.println(o);
		out.flush();
	}
	private static void print(Object o) throws Exception{
		out.print(o);
		out.flush();
	}
	private static int nextInt() throws Exception {
		in.nextToken();
		return (int)in.nval;
	}  
	private static String nextString() throws Exception {
		in.nextToken();
		return in.sval;        
	}
}